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Conformal Spectrum and Harmonic Maps [PDF]
This paper is devoted to the study of the conformal spectrum (and more precisely the first eigenvalue) of the Laplace-Beltrami operator on a smooth connected compact Riemannian surface without boundary, endowed with a conformal class. We give a constructive proof of a critical metric which is smooth except at some conical singularities and maximizes ...
Nikolaï Nadirashvili, Yannick Sire
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On the Boundary Behavior of a Conformal Map [PDF]
J. L. Walsh, L. Rosenfeld
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The Intrinsic Conformal Structure and Gauss Map of a Light-Like Hypersurface in Minkowski Space [PDF]
Marek Kossowski
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Hexagons all the way down: grid cells as a conformal isometric map of space. [PDF]
Schøyen VS+7 more
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Celestial diamonds: conformal multiplets in celestial CFT [PDF]
We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin s = 0121322\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
S. Pasterski+2 more
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Noise effects on Padé approximants and conformal maps [PDF]
We analyze the properties of Padé and conformal map approximants for functions with branch points, in the situation where the expansion coefficients are only known with finite precision or are subject to noise.
O. Costin, G. Dunne, Max Meynig
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Conformal complementarity maps [PDF]
Abstract We study quantum cosmological models for certain classes of bang/crunch singularities, using the duality between expanding bubbles in AdS with a FRW interior cosmology and perturbed CFTs on de Sitter space-time. It is pointed out that horizon complementarity in the AdS bulk geometries is realized as a conformal ...
Eliezer Rabinovici+2 more
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Liouville quantum gravity and the Brownian map III: the conformal structure is determined [PDF]
Previous works in this series have shown that an instance of a 8/3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{
Jason Miller, S. Sheffield
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Complex Functional Maps: A Conformal Link Between Tangent Bundles [PDF]
In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their orientation awareness.
Nicolas Donati+3 more
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Rigidity and continuous extension for conformal maps of circle domains [PDF]
We present sufficient conditions so that a conformal map between planar domains whose boundary components are Jordan curves or points has a continuous or homeomorphic extension to the closures of the domains.
Dimitrios Ntalampekos
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